Convolution with affine arclength measures in the plane
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- by Daniel M. Oberlin PDF
- Proc. Amer. Math. Soc. 127 (1999), 3591-3592 Request permission
Abstract:
We obtain an estimate for the $L^{3/2,1}(\mathbb R^2)-L^3(\mathbb R^2)$ norm of a certain convolution operator.References
- Y. Choi, Convolution operators with affine arclength measures on plane curves, J. Korean Math. Soc. 36 (1999), 193–207.
- S. W. Drury, Degenerate curves and harmonic analysis, Math. Proc. Cambridge Philos. Soc. 108 (1990), no. 1, 89–96. MR 1049762, DOI 10.1017/S0305004100068973
Additional Information
- Daniel M. Oberlin
- Affiliation: Department of Mathematics, Florida State University, Tallahassee, Florida 32306-4510
- Email: oberlin@math.fsu.edu
- Received by editor(s): February 16, 1998
- Published electronically: July 8, 1999
- Additional Notes: The author was partially supported by a grant from the National Science Foundation
- Communicated by: Christopher D. Sogge
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 3591-3592
- MSC (1991): Primary 42B15
- DOI: https://doi.org/10.1090/S0002-9939-99-05462-3
- MathSciNet review: 1690999